The equivalence of algebraic stability andAN-stability |
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Authors: | J C Butcher |
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Institution: | (1) Department of Computer Science, University of Auckland, Auckland, New Zealand |
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Abstract: | It is shown that, under certain restrictions,AN-stability is equivalent to algebraic stability for general linear methods. The restrictions have the purpose of excluding from consideration methods which can be replaced by simpler methods in various specific ways andAN-stability is to be interpreted in the strong sense. This result generalizes known results for Runge-Kutta and for one-leg methods. |
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Keywords: | 5 17 |
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